Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Perpendicular Lines and the equation of a tangent3 marks
The point (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.
- 2Conditional Probability3 marks
A bag holds 7 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 4Bounds3 marks
A rectangle is 21 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5Factorising Harder Quadratics3 marks
Solve 20x^2 + 19x + 3 = 0.
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